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Finding the Fourth Proportional to 12,189.34, 16,821.75 and 6,884.74

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Solution

The fourth proportional to 12,189.34, 16,821.75 and 6,884.74 is: 9,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.34 : 16,821.75 = 6,884.74 : x
  2. Step 2: Convert to fraction form
    12,189.34/16,821.75 = 6,884.74/x
  3. Step 3: Cross multiply
    12,189.34x = 16,821.75 × 6,884.74
  4. Step 4: Simplify right side
    12,189.34x = 115,813,375.10
  5. Step 5: Solve for x
    x = 115,813,375.10/12,189.34
  6. Step 6: Final answer
    x = 9,501.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.